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Finding the Fourth Proportional to 3,407.40, 5,109.42 and 1,098.60

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Solution

The fourth proportional to 3,407.40, 5,109.42 and 1,098.60 is: 1,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.40 : 5,109.42 = 1,098.60 : x
  2. Step 2: Convert to fraction form
    3,407.40/5,109.42 = 1,098.60/x
  3. Step 3: Cross multiply
    3,407.40x = 5,109.42 × 1,098.60
  4. Step 4: Simplify right side
    3,407.40x = 5,613,208.81
  5. Step 5: Solve for x
    x = 5,613,208.81/3,407.40
  6. Step 6: Final answer
    x = 1,647.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.